Important Questions for CBSE Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables 1 Mark Question

CBSE Class 10 Maths Chapter-3 Pair of Linear Equations in Two Variables – Free PDF Download

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CBSE Class 10 Maths Chapter-3 Pair of Linear Equations in Two Variables Important Questions

CBSE Class 10 Maths Important Questions Chapter 3 – Pair of Linear Equations in Two Variables

1 Mark Questions

1. A pair of linear equation in two variables which has a common point i.e., which has only one solution is called a
(a) Consistent pair
(b) Inconsistent pair
(c) Dependent pair
(d) None of these
Ans. a) Consistent pair

2. If a pair of linear equation and represents coincident lines, then
(a) 
(b) 
(c) 
(d) None of these
Ans. (c) 

3. The value of ‘k’ for which the system of equation 2x + 3y = 5 and 4x + ky = 10 has infinite number of solutions is
(a) k = 1
(b) k = 3
(c) k = 6
(d) k = 0
Ans. (c) k = 6

4. If the system of equation 2x + 3y = 7 and 29x + (a + b) y = 28 has infinitely many solutions, then
(a) a = 2b
(b) b = 2a
(c) a + 2b = 0
(d) 2a + b = 0
Ans. (b) b = 2a

5. If ambl, then the system of equation ax + by = c and lx + my = n
(a) has a unique solution
(b) has no solution
(c) has infinitely many solution
(d) may or may not have a solution
Ans. (a) has a unique solution

6. The graphical representation of the linear equation y – 5 = 0 is
(a) a line
(b) a point
(c) a curve
(d) None of these
Ans. (a) a line

7. A system of simultaneous linear equations is said to be inconsistent, if it has
(a) One solution
(b) Two solutions
(c) Three solutions
(d) No solution
Ans. (d) No solution

8. The system of equation 2x + 3y – 7 = 0 and 6x + 5y – 11 = 0 has
(a) unique solution
(b) No solution
(c) Infinitely many solutions
(d) None of these
Ans. (a) unique solution

9. The value of ‘k’ for which the system of equation x + 2y – 3 = 0 and 5x + ky + 7 = 0 has no solution is
(a) k = 10
(b) k = 6
(c) k = 3
(d) k = 1
Ans. (a) k = 10

10. The equation axⁿ + byⁿ + c = 0 represents a straight line if
(a) n1
(b) n1
(c) n=1
(d) None of these
Ans. (c) n=1

11. The value of ‘k’ for which the system of equation kx – y = 2 and 6x – 2y = 3 has a unique solution is
(a) k = 3
(b) k 
(c) k = 0
(d) k  0
Ans. (b) k  3

12. The value of ‘k’ for which the system of equations x + 2y = 5 and 3x + ky + 15 = 0 has no solution, if
(a) k = 6
(b) k = –6
(c) –k =
(d) None of these
Ans. (a) k = 6

13. In the equation a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0, if  then the equation will represents
(a) coincident lines
(b) parallel lines
(c) intersecting lines
(d) None of these
Ans. (c) intersecting lines

14. Solve graphically 2x – 3y + 13 = 0 and 3x – 2y + 12 = 0
Ans. 2x – 3y + 13 = 0